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Finding the Third Proportional to 141,284 and 305,512

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Solution

The third proportional to 141,284 and 305,512 is: 660,638.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,284 : 305,512 = 305,512 : x
  2. Step 2: Convert to fraction form
    141,284/305,512 = 305,512/x
  3. Step 3: Cross multiply
    141,284x = 305,512 × 305,512
  4. Step 4: Simplify right side
    141,284x = 93,337,582,144
  5. Step 5: Solve for x
    x = 93,337,582,144/141,284
  6. Step 6: Final answer
    x = 660,638.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.